The coefficient of linear expansion of crystal in one direction is ${\alpha _1}$ and that in every direction perpendicular to it is ${\alpha _2}$. The coefficient of cubical expansion is
${\alpha _1} + {\alpha _2}$
$2{\alpha _1} + {\alpha _2}$
${\alpha _1} + 2{\alpha _2}$
None of these
On what does the value of coefficient of linear expansion depend ?
A metallic rod $1\,cm$ long with a square cross-section is heated through $1^o C$. If Young’s modulus of elasticity of the metal is $E$ and the mean coefficient of linear expansion is $\alpha$ per degree Celsius, then the compressional force required to prevent the rod from expanding along its length is :(Neglect the change of cross-sectional area)
A metallic tape gives correct value at $25^{\circ} C$. A piece of wood is being measured by this metallic tape at $10^{\circ} C$. The reading is $30 \,cm$ on the tape, the real length of wooden piece must be .......... $cm$
If the length of a cylinder on heating increases by $2\%$, the area of its base will increase by ....... $\%$
A uniform metal rod is used as a bar pendulum. If the room temperature rises by $10°C$, and the coefficient of linear expansion of the metal of the rod is $2 \times 10^{-6}$ per $°C,$ the period of the pendulum will have percentage increase of